768 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Centre National de la Recherche ScientifiqueFR30 papers
- Hiroshima UniversityJP30 papers
- Petersburg Nuclear Physics InstituteRU28 papers
- Institute for High Energy PhysicsES27 papers
- Banaras Hindu UniversityIN26 papers
- Bhabha Atomic Research CentreIN26 papers
- Brookhaven National LaboratoryUS26 papers
- China Institute of Atomic EnergyCN26 papers
- Columbia UniversityUS26 papers
- High Energy Accelerator Research OrganizationJP26 papers
- Iowa State UniversityUS26 papers
- Korea UniversityKR26 papers
30 papers · 1 filter
Baxter Q-operators of the XXZ chain and R-matrix factorization
S. Derkachov, D. Karakhanyan, R. Kirschner
We construct Baxter operators as generalized transfer matrices being traces of products of generic matrices. The latter are shown to factorize into simpler operators allowing f…
Superconformal operators in Yang-Mills theories on the light-cone
A. V. Belitsky, S. E. Derkachov, G. P. Korchemsky +1
We employ the light-cone superspace formalism to develop an efficient approach to constructing superconformal operators of twist two in Yang-Mills theories with N=1,2,4 supercharge…
Superconformal operators in N=4 super-Yang-Mills theory
A. V. Belitsky, S. E. Derkachov, G. P. Korchemsky +1
We construct, in the framework of the N=4 SYM theory, a supermultiplet of twist-two conformal operators and study their renormalization properties. The components of the supermulti…
Baxter Q-operator and Separation of Variables for the open SL(2,R) spin chain
D. E. Derkachov, G. P. Korchemsky, A. N. Manashov
We construct the Baxter Q-operator and the representation of the Separated Variables (SoV) for the homogeneous open SL(2,R) spin chain. Applying the diagrammatical approach, we cal…
Noncompact Heisenberg spin magnets from high-energy QCD: III. Quasiclassical approach
S. E. Derkachov, G. P. Korchemsky, A. N. Manashov
The exact solution of the noncompact SL(2,C) Heisenberg spin magnet reveals a hidden symmetry of the energy spectrum. To understand its origin, we solve the spectral problem for th…
Separation of variables for the quantum SL(2,R) spin chain
S. E. Derkachov, G. P. Korchemsky, A. N. Manashov
We construct representation of the Separated Variables (SoV) for the quantum SL(2,R) Heisenberg closed spin chain and obtain the integral representation for the eigenfunctions of t…
Is the energy density of the ground state of the sine-Gordon model unbounded from below for beta^2 > 8 pi ?
M. Faber, A. N. Ivanov
We discuss Coleman's theorem concerning the energy density of the ground state of the sine-Gordon model proved in Phys. Rev. D 11, 2088 (1975). According to this theorem the energy…
Noncompact Heisenberg spin magnets from high-energy QCD: II. Quantization conditions and energy spectrum
S. E. Derkachov, G. P. Korchemsky, J. Kotanski +1
We present a complete description of the spectrum of compound states of reggeized gluons in QCD in multi-colour limit. The analysis is based on the identification of these states a…
On the Wilson loop in the dual representation within the dual Higgs model with dual Dirac strings
V. A. Ivanova, N. I. Troitskaya
The vacuum expectation value of the Wilson loop in the dual representation is calculated in the dual Higgs model with dual Dirac strings. It is shown that the averaged value of the…
Noncompact Heisenberg spin magnets from high-energy QCD: I. Baxter Q-operator and Separation of Variables
S. E. Derkachov, G. P. Korchemsky, A. N. Manashov
We analyze a completely integrable two-dimensional quantum-mechanical model that emerged in the recent studies of the compound gluonic states in multi-color QCD at high energy. The…
The Conformal Anomaly in General Rank 1 Symmetric Spaces and Associated Operator Product
A. A. Bytsenko, A. E. Goncalves, F. L. Williams
We compute the one-loop effective action and the conformal anomaly associated with the product of the Laplace type operators , acting in…
Brane-Black Hole Correspondence and Asymptotics of Quantum Spectrum
A. A. Bytsenko, A. E. Goncalves, S. D. Odintsov
We discuss the asymptotic properties of quantum states density for fundamental (super) membrane in the semiclassical approach. The matching of BPS part of spectrum for superstring…
On the stability problem in the O(N) nonlinear sigma model
S. E. Derkachov, A. N. Manashov
The stability problem for the O(N) nonlinear sigma model in the 2+εdimensions is considered. We present the results of the 1/N^{2} order calculations of the critical exponents (in…
Exact Renormalization Group and Running Newtonian Coupling in Higher Derivative Gravity
A. A. Bytsenko, L. N. Granda, S. D. Odintsov
We discuss exact renormalization group (RG) in -gravity using effective average action formalism. The truncated evolution equation for such a theory on De Sitter background le…
Ray-Singer Torsion for a Hyperbolic 3-Manifold and Asymptotics of Chern-Simons-Witten Invariant
Andrei A. Bytsenko, Luciano Vanzo, Sergio Zerbini
The Ray-Singer torsion for a compact smooth hyperbolic 3-dimensional manifold is expressed in terms of Selberg zeta-functions, making use of the associated Selberg tra…
Determinant of Laplacian on a non-compact 3-dimensional hyperbolic manifold with finite volume
A. A. Bytsenko, Guido Cognola, Sergio Zerbini
The functional determinant of Laplace-type operators on the 3-dimensional non-compact hyperbolic manifold with invariant fundamental domain of finite volume is computed by quadratu…
One-loop vacuum amplitude for D-branes in constant electromagnetic field
A. A. Bytsenko, S. D. Odintsov, L. N. Granda
Following Polchinski's approach we calculate the one-loop vacuum amplitude for two parallel D-branes connected by open bosonic (neutral or charged)string in a constant uniform elec…
Quantum Fields in Hyperbolic Space-Times with Finite Spatial Volume
A. A. Bytsenko, Guido Cognola, Sergio Zerbini
The one-loop effective action for a massive self-interacting scalar field is investigated in -dimensional ultrastatic space-time , being a non-compact h…
Generic scaling relation in the scalar model
S. E. Derkachov, A. N. Manashov
The results of analysis of the one--loop spectrum of anomalous dimensions of composite operators in the scalar model are presented. We give the rigorous constructive proo…
Finite Temperature Effects for Massive Fields in D-dimensional Rindler-like Spaces
Andrei A. Bytsenko, Guido Cognola, Sergio Zerbini
The first quantum corrections to the free energy for massive fields in -dimensional space-times of the form $\R\times\R^+\times\M^{N-1}$, where and $\M^{N-1}$ is a const…
The spectrum of the anomalous dimensions of the composite operators in the - expansion in the scalar - field theory
S. E. Derkachov, A. N. Manashov
The spectrum of the anomalous dimensions of the composite operators (with arbitrary number of fields and derivatives ) in the scalar - theory in the first order of the…
Quantum Fields and Extended Objects in Space-Times with Constant Curvature Spatial Section
A. A. Bytsenko, G. Cognola, L. Vanzo +1
The heat-kernel expansion and -regularization techniques for quantum field theory and extended objects on curved space-times are reviewed. In particular, ultrastatic space-times…
HIGH TEMPERATURE EXPANSION OF STRING FREE ENERGY IN HYPERBOLIC SPACE
A. A. Btysenko, S. D. Odintsov, S. Zerbini
The high temperature behaviour of the open bosonic string free energy in the space with vanishingly small curvature is investigated. The leading term of the high…
The Large Distance Limit of the Gravitational Effective Action in Hyperbolic Backgrounds
A. A. Btsenko, A. D. Odintsov, S. Zerbini
The one-loop effective action for D-dimensional quantum gravity with negative cosmological constant, is investigated in space-times with compact hyperbolic spatial section. The exp…